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Finding the Fourth Proportional to 298,935,648.40, 448,403,472.60 and 271,672,725.10

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Solution

The fourth proportional to 298,935,648.40, 448,403,472.60 and 271,672,725.10 is: 407,509,087.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,935,648.40 : 448,403,472.60 = 271,672,725.10 : x
  2. Step 2: Convert to fraction form
    298,935,648.40/448,403,472.60 = 271,672,725.10/x
  3. Step 3: Cross multiply
    298,935,648.40x = 448,403,472.60 × 271,672,725.10
  4. Step 4: Simplify right side
    298,935,648.40x = 121,818,993,345,545,200
  5. Step 5: Solve for x
    x = 121,818,993,345,545,200/298,935,648.40
  6. Step 6: Final answer
    x = 407,509,087.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.